series
Foundations of Control Systems
A series on how feedback shapes the behavior of dynamical systems, from first principles to state-space models.
This series is intended for readers who are comfortable with calculus and basic linear algebra. Each entry introduces one idea, states the assumptions it relies on, and points to the next idea in the sequence.
Entries
Introduction to Control Systems
An introductory overview of feedback and system behavior.
Feedback and System Behavior
How closing the loop changes the speed of a simple first-order system and how sensitive its output is to plant errors and disturbances, checked with a short simulation.
A Primer on State-Space Models
Writing a mechanical system in state-space form, and reading its stability from the eigenvalues of one matrix.
Stability and Eigenvalues
How the eigenvalues of the system matrix determine whether the state of a linear system decays, oscillates, or grows.
Not written yet.
Designing a State-Feedback Controller
Pole placement for a simple linear system, and what it assumes about the model and the available measurements.
Not written yet.